Results 261 to 270 of about 528,042 (304)

Existence and uniqueness for ψ‐Hilfer fractional differential equation with nonlocal multi‐point condition

Mathematical methods in the applied sciences, 2020
In this paper, we study and investigate the ψ−Hilfer fractional differential equation with nonlocal multi‐point condition of the form: Da+q,p;ψu(t)=f(t,u(t),Da+q,p;ψu(t)),t∈[a,b],Ia+1−r;ψu(a)=∑i=1mβiu(ηi),q≤r=q+p ...
Piyachat Borisut, Poom Kumam, Idris Ahmed, Wachirapong Jirakitpuwapat   +3 more
semanticscholar   +1 more source

Fuzzy differential equation with nonlocal condition

Fuzzy Sets and Systems, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kuk-Hyeon Son, Jong Yeoul Park, Hyo Keun Han   +2 more
openaire   +2 more sources

Nonlocal Differential Equations with Convolution Coefficients and Applications to Fractional Calculus

Advanced Nonlinear Studies, 2021
The existence of at least one positive solution to a large class of both integer- and fractional-order nonlocal differential equations, of which one model case is - A ⁢ ( ( b * u q ) ⁢ ( 1 ) ) ⁢ u ′′ ⁢ ( t ) = λ ⁢ f ⁢ ( t , u ⁢ ( t ) ) , t ∈ ( 0 , 1 ...
C. Goodrich
semanticscholar   +1 more source

Integral and differential approaches to Eringen's nonlocal elasticity models accounting for boundary effects with applications to beams in bending

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2021
The Eringen's fully nonlocal elasticity model is known to lead to ill‐posed boundary‐value problems and to suffer some boundary effects arising from particle interactions impeded by the body's boundary surface.
A. Pisano, P. Fuschi, C. Polizzotto
semanticscholar   +1 more source

Nonlocal Intuitionistic Fuzzy Differential Equation

2020
In this paper, we shall prove the existence and uniqueness theorem of solution of intuitionistic fuzzy differential equation with nonlocal condition by using the contraction mapping principle and we establish some property of the solution like the continuous dependence.
Said Melliani, R. Ettoussi, S. Chadli
openaire   +2 more sources

Mild solution of stochastic partial differential equation with nonlocal conditions and noncompact semigroups

Mathematica Slovaca, 2019
The aim of this paper is to discuss the existence of mild solutions for a class of semilinear stochastic partial differential equation with nonlocal initial conditions and noncompact semigroups in a real separable Hilbert space.
Xuping Zhang, Pengyu Chen, A. Abdelmonem, Yongxiang Li   +3 more
semanticscholar   +1 more source

On Differential Equations with Nonlocal Switch Functionals

Journal of Mathematical Sciences, 2013
Systems of ordinary differential equations along with nonlocal functionals are considered. These functionals allow us to watch qualitative characteristics of solutions. It is proved that if assumptions are natural, then the switch moment can be found by means of finite difference approximations of differential equations.
R. V. Shamin, R. V. Shamin
openaire   +2 more sources

Optimal control problems for some nonlocal differential equations

Nonlinear Analysis: Theory, Methods & Applications, 2001
The direct methods of calculus were used to analyze the optimal control problems for some nonlocal differential equations. The problems involved functional-differential equations with argument deviation. The relaxation of a variational problem involving a local functional was reduced to some well-known convexification of the integrand.
Drakhlin M., Litsyn E., Stepanov E.
openaire   +5 more sources

A finite difference scheme for the nonlinear time‐fractional partial integro‐differential equation

Mathematical methods in the applied sciences, 2020
In this paper, a finite difference scheme is proposed for solving the nonlinear time‐fractional integro‐differential equation. This model involves two nonlocal terms in time, ie, a Caputo time‐fractional derivative and an integral term with memory.
Jing Guo, Da Xu, W. Qiu
semanticscholar   +1 more source